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Finding the Fourth Proportional to 10,771.73, 16,162.05 and 4,764.65

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Solution

The fourth proportional to 10,771.73, 16,162.05 and 4,764.65 is: 7,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.73 : 16,162.05 = 4,764.65 : x
  2. Step 2: Convert to fraction form
    10,771.73/16,162.05 = 4,764.65/x
  3. Step 3: Cross multiply
    10,771.73x = 16,162.05 × 4,764.65
  4. Step 4: Simplify right side
    10,771.73x = 77,006,511.53
  5. Step 5: Solve for x
    x = 77,006,511.53/10,771.73
  6. Step 6: Final answer
    x = 7,148.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.